Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Related questions
Question
![**Evaluate the Factorial Expression**
Calculate the following expression:
\[ 5! - 4! \]
### Explanation
**Factorials** are a mathematical operation where a positive integer \( n \) is multiplied by all the positive integers less than it. It is denoted by \( n! \).
- **5 factorial (5!)** is computed as:
\[
5! = 5 \times 4 \times 3 \times 2 \times 1 = 120
\]
- **4 factorial (4!)** is computed as:
\[
4! = 4 \times 3 \times 2 \times 1 = 24
\]
### Calculation
Subtract the factorial of 4 from the factorial of 5:
\[ 5! - 4! = 120 - 24 \]
### Solution
\[ 5! - 4! = 96 \]
Place the result in the provided box:
\[ 5! - 4! = \boxed{96} \]](https://content.bartleby.com/qna-images/question/022ae44f-636d-4b99-a07b-5f1c14bbf99e/3f95365d-c6d0-4619-8d89-3ced91c58455/ggik4x_processed.png)
Transcribed Image Text:**Evaluate the Factorial Expression**
Calculate the following expression:
\[ 5! - 4! \]
### Explanation
**Factorials** are a mathematical operation where a positive integer \( n \) is multiplied by all the positive integers less than it. It is denoted by \( n! \).
- **5 factorial (5!)** is computed as:
\[
5! = 5 \times 4 \times 3 \times 2 \times 1 = 120
\]
- **4 factorial (4!)** is computed as:
\[
4! = 4 \times 3 \times 2 \times 1 = 24
\]
### Calculation
Subtract the factorial of 4 from the factorial of 5:
\[ 5! - 4! = 120 - 24 \]
### Solution
\[ 5! - 4! = 96 \]
Place the result in the provided box:
\[ 5! - 4! = \boxed{96} \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY 
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,